Details

Time bar (total: 6.9s)

sample15.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
11911
22711
34011
44911
56311
67611
710111
810711
911311
1011711
1112811
1237511
13189311
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.3b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
32.0ms
(* x (+ (/ x y) 1.0))
16.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series70.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ (/ x y) 1.0))
42.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify492.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
0103719
1304689
21372593
done5001593

prune112.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
22.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
22.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series110.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify889.0ms

Counts
152 → 152
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
02072958
15052772
222302658
done50002658

prune266.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
29.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
42.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
42.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify533.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
01251298
13381232
213981120
done50001120

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.1b
(/ 1 (+ (/ x y) 1.0))
0.2b
(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
804×times-frac
569×*-un-lft-identity
325×add-sqr-sqrt add-cube-cbrt
122×distribute-lft-out
81×associate-/r/
41×div-inv
40×flip3-+ flip-+
31×add-exp-log
26×associate-/r*
24×associate-/l*
19×div-exp add-cbrt-cube
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 454
Calls
3 calls:
6.0ms
(/ x (+ x 1.0))
18.0ms
(/ 1 (+ (/ x y) 1.0))
33.0ms
(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ x (+ x 1.0))
40.0ms
(/ 1 (+ (/ x y) 1.0))
48.0ms
(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))

simplify558.0ms

Counts
463 → 463
Iterations

Useful iterations: done (541.0ms)

IterNodesCost
057212320
1173010898
done500010146

prune550.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample387.0ms

Algorithm
intervals
Results
240.0ms9156×body80valid